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bekas [8.4K]
2 years ago
9

Find the area and perimeter of a rectangle. the length is x+6 the width is x+2

Mathematics
1 answer:
yarga [219]2 years ago
6 0

Answer:

<h2><u><em>Area = x² + 8x + 12</em></u></h2><h2><u><em>Perimeter = 4x + 16</em></u></h2>

Step-by-step explanation:

The area of a rectangle is given by the formula:

Area=width×height

The perimeter of a rectangle is given by the formula

Perimeter=2(width+height)

Area

(x + 6) × (x+2) =

x² + 2x + 6x + 12

x² + 8x + 12

------------------

Perimeter

2 × (x + 6 + x + 2) =

2 × (2x + 8) =

4x + 16

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If the equation is an identity or if it has no solution, write identity or no solution.
Ksenya-84 [330]

Answer:

7n + 5 − 9n = 8 − 2n − 3 = true

-2 n + 5 = 5 - 2 n = true

Step-by-step explanation:

Left-hand side:

Simplify the following:

7 n - 9 n + 5

Grouping like terms, 7 n - 9 n + 5 = 5 + (7 n - 9 n):

5 + (7 n - 9 n)

7 n - 9 n = -2 n:

Answer: -2 n + 5

____________________________

Right-hand side:

Simplify the following:

-2 n - 3 + 8

Grouping like terms, -2 n - 3 + 8 = (8 - 3) - 2 n:

(8 - 3) - 2 n

8 - 3 = 5:

Answer: 5 - 2 n

7 0
4 years ago
Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p
Andrew [12]

Answer:

Jamie: His inequality would look like this:  25x >= 600

Stella: Her inequality would look like this: 15y >= 600

Her limitations would be listed as: y=40

Yep. Stella has plenty of money by baking 40 pies; $600.

We can back that up by breaking this down. So. We know that it cost $600 to pay upfront and Jamie makes $25 per car he washes. Stella would make $15 for every pie she baked. So simply, let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes. Easy.

Since the cost for washing one car is $25

Now, in order to sign up for the trip, money obtained from car washing must be greater than or equal to $600. We know that. Now, lets see their profit margins.

Since the cost for making one pie is $15

Therefore, the cost of making y pies is 15y.

Now, in order to sign up for the trip, money obtained from pie making must be greater than or equal to $600 so with that being the case... 15y>=600

We all know the maximum number of pies that Stella can make is 40. So, the value of can't exceed 40 and must be less than or equal to 40. So.... y<=40

Bam.

In order to sign up for the trip, Stella's total earning must be at least $600. So, is the minimum condition for signing up for the trip. Now, let us solve the above equation for . So our end project looks like this: 15y = 600 y = 600/15 = 40

The minimum number of pies required for signing up for the trip is 40 and luckily that's the maximum supply Stella has for pies. Therefore, she can sign up for the trip by making all the 40 pies and earning a total of 600 dollars.

Step-by-step explanation:

7 0
3 years ago
These dot plots show the heights (in feet) from a sample of two different
Nikolay [14]

Answer:C

Step-by-step explanation:They have a greater IQR because there were some very short elephants (low outliers)

7 0
4 years ago
A line passes through the point (0,1) and has a positive slope. Which of these points could that line NOT pass through?
Maksim231197 [3]

Answer:

(-3, 1)

(5,-2)​

Step-by-step explanation:

8 0
3 years ago
Solve the equation for the unknown quantity.<br> 6y + 7 = 5y - 7<br> y= (Simplify your answer.)
Sedaia [141]

Answer:

y = -14 in simplest form hope this helped

Step-by-step explanation:

5 0
3 years ago
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